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989018112 = 2113172557
BaseRepresentation
bin111010111100110…
…011100000000000
32112221000022210110
4322330303200000
54011142034422
6242050031320
733336341505
oct7274634000
92487008713
10989018112
11468302a45
12237278540
13129b93724
14954cd4ac
155bc6260c
hex3af33800

989018112 has 144 divisors (see below), whose sum is σ = 2805992280. Its totient is φ = 309723136.

The previous prime is 989018099. The next prime is 989018171. The reversal of 989018112 is 211810989.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1775338 + ... + 1775894.

Almost surely, 2989018112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 989018112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1402996140).

989018112 is an abundant number, since it is smaller than the sum of its proper divisors (1816974168).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

989018112 is a wasteful number, since it uses less digits than its factorization.

989018112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 616 (or 579 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 39.

The square root of 989018112 is about 31448.6583497611. The cubic root of 989018112 is about 996.3258881008.

The spelling of 989018112 in words is "nine hundred eighty-nine million, eighteen thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 128 136 192 204 256 272 289 384 408 512 544 557 578 768 816 867 1024 1088 1114 1156 1536 1632 1671 1734 2048 2176 2228 2312 3072 3264 3342 3468 4352 4456 4624 6144 6528 6684 6936 8704 8912 9248 9469 13056 13368 13872 17408 17824 18496 18938 26112 26736 27744 28407 34816 35648 36992 37876 52224 53472 55488 56814 71296 73984 75752 104448 106944 110976 113628 142592 147968 151504 160973 213888 221952 227256 285184 295936 303008 321946 427776 443904 454512 482919 570368 591872 606016 643892 855552 887808 909024 965838 1140736 1212032 1287784 1711104 1775616 1818048 1931676 2424064 2575568 3422208 3636096 3863352 4848128 5151136 7272192 7726704 9696256 10302272 14544384 15453408 19392512 20604544 29088768 30906816 41209088 58177536 61813632 82418176 123627264 164836352 247254528 329672704 494509056 989018112